Air Quality Planning: A General Chance-Constraint Model

One complex aspect of environmental planning is the stochastic planning nature of environmental impacts. Planners can evaluate alternatives more fully if the stochastic impacts of various alternatives are incorporated into the analyses. Chance‐constrained modeling techniques that are currently applied to real problems cannot incorporate many stochastic environmental impacts because of random variables that are non‐normal and statistically dependent. In addition, confidence limits of distribution parameters cannot be reflected in solutions. The planning technique proposed in this paper uses linear programming and simulation interactively to resolve these difficulties. The technique is demonstrated using a model that selects power plant sites to fulfill two planning objectives: (1) satisfaction of air quality standards; and (2) minimization of the costs of flue gas treatment and electrical transmission. The stochastic environmental impacts that must be controlled are the SO2 impacts from power plants. Relyi...

[1]  S. S. Wilks Determination of Sample Sizes for Setting Tolerance Limits , 1941 .

[2]  J. E. Quon,et al.  Statistical Dependence of Hourly Carbon Monoxide Measurements , 1979 .

[3]  J. Tukey Non-Parametric Estimation II. Statistically Equivalent Blocks and Tolerance Regions--The Continuous Case , 1947 .

[4]  J. E. Kelley,et al.  The Cutting-Plane Method for Solving Convex Programs , 1960 .

[5]  P. V. Rao,et al.  Distribution-Free Approximations for Chance Constraints , 1974, Oper. Res..

[6]  Leonard Ortolano,et al.  Modeling Water Distribution in Santa Clara County, Calif. , 1979 .

[7]  K. Pearson Tables of the incomplete beta-function , 1951 .

[8]  Abraham Charnes,et al.  Chance Constraints and Normal Deviates , 1962 .

[9]  Paul N. Somerville Tables for Obtaining Non-parametric Tolerance Limits , 1958 .

[10]  C. J. Chatlynne,et al.  Estimating costs of flue gas desulfurization systems for utility boilers , 1976 .

[11]  G. C. Tiao,et al.  Analysis of Los Angeles Photochemical Smog Data: A Statistical Overview , 1975 .

[12]  George B. Dantzig,et al.  Linear programming and extensions , 1965 .

[13]  Robert Dorfman,et al.  Formal Models in the Design of Water Resource Systems , 1965 .

[14]  Richard J. Giglio,et al.  Planning Electric Power Generation: A Nonlinear Mixed Integer Model Employing Benders Decomposition , 1977 .

[15]  Abraham Wald,et al.  An Extension of Wilks' Method for Setting Tolerance Limits , 1943 .

[16]  J. A. Crenshaw,et al.  Single sources in Class II PSD areas , 1980 .